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Joy buys a shirt using a coupon for 75% off one item. She pays only $15.00 for a shirt. How much did the...

4. Joy buys a shirt using a coupon for 75% off one item. She pays only $15.00 for a shirt. How much did the shirt cost originally? Use the parts below to help you create a pictorial model to solve the problem.
a. Create a strip model to represent 75% using four equal parts.
b. Look at your model. Which part(s) represent the discounted amount?
c. Look at your model. Which part(s) represents the price Joy paid?
d. What percent of the price did Joy pay?
e. How much money does each part represent? How do you know?
f. How much did the shirt cost before the discount?

Answer

  1. a. Create a strip model to represent 75% using four equal parts.
    Model is drawn with three shaded parts representing 75% and one unshaded part representing 25%.

  2. b. Look at your model. Which part(s) represent the discounted amount?
    The unshaded part represents the discounted amount.

  3. c. Look at your model. Which part(s) represents the price Joy paid?
    The shaded parts represent the price Joy paid.

  4. d. What percent of the price did Joy pay?
    25%

  5. e. How much money does each part represent? How do you know?
    Each part represents $5.00 because $15.00 is 75% of the original price, and 75% is represented by three parts, so $15.00 divided by 3 equals $5.00 per part.

  6. f. How much did the shirt cost before the discount?
    $20.00 because each part is $5.00 and the original price is represented by four parts (4 x $5.00 = $20.00).

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